DM-GAA

Article in press

Authors:

J. Sanborisoot

Jatuporn Sanborisoot

Algebra and Applications Research Unit
Department of Mathematics, Faculty of Science
Mahasarakham University, Mahasarakham 44150, Thailand

email: jatuporn.san@msu.ac.th

P. Palakawong na Ayutthaya

Pakorn Palakawong na Ayutthaya

Department of Mathematics, Faculty of Science
Khon Kaen University, Khon Kaen, 40002, Thailand

email: pakorn1702@gmail.com

Title:

On ternary ring congruences of ternary semirings

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications

Received: 2022-05-01 , Revised: 2022-07-19 , Accepted: 2022-09-09 , Available online: 2024-03-25 , https://doi.org/10.7151/dmgaa.1432

Abstract:

In this work, we study the notions of $k$-ideals and $h$-ideals of ternary s emirings and investigate some of their algebraic properties. Furthermore, we construct a congruence relation with respect to a full $k$-ideal on a ternary semiring for the purpose of forming a ternary ring from the quotient ternary semiring.

Keywords:

ternary ring, ternary semiring, ring congruence, $k$-ideal, $h$-ideal

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